Bifurcation analysis of a delayed worm propagation model with saturated incidence
type: Item
instance of: scholarly article
title: Bifurcation analysis of a delayed worm propagation model with saturated incidence
zbMATH Open document ID: 1440.68016
DOI: 10.1155/2018/7619074
author: Yougang Wang
author: Luca Guerrini
author: Zizhen Zhang
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: This paper is concerned with a delayed SVEIR worm propagation model with saturated incidence. The main objective is to investigate the effect of the time delay on the model. Sufficient conditions for local stability of the positive equilibrium and existence of a Hopf bifurcation are obtained by choosing the time delay as the bifurcation parameter. Particularly, explicit formulas determining direction of the Hopf bifurcation and stability of the bifurcating periodic solutions are derived by using the normal form theory and the center manifold theorem. Numerical simulations for a set of parameter values are carried out to illustrate the analytical results.
Mathematics Subject Classification ID: 68M10
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 65P30
Mathematics Subject Classification ID: 68M25
zbMATH DE Number: 6992018
zbMATH Keywords: computer virus
zbMATH Keywords: worm propagation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7619074
OpenAlex ID: W2804905414
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Wikidata QID: Q129811910
description: scientific article; zbMATH DE number 6992018